Mike Gray, Chris and Oskaline were the first to tell me that the iTunes Music Store for the U.K. and Germany includes an EP called "iTunes Sessions" by Tori Amos. The EP features solo piano versions of Sleeps With Butterflies, The Power Of Orange Knickers, Seaside and Crazy. These are piano versions of the songs. I don't think they are live performances because there is no audience noise. If you have access to the U.K. itunes music store and have iTunes installed, you should be able to get to this EP by clicking here. Keep in mind iTunes will not let you purchase the music unless you live in that country, and you must have a valid billing address in that country to purchase music. (I have also gotten reports that this item is no longer available, but I am not sure how widespread that experience is.)
More Details
Here are the tracks and times for this EP:
Sleeps With Butterflies - 4:06
The Power Of Orange Knickers- 3:46
Seaside - 4:06
Crazy - 5:49